Abstract
We show the existence of groups with trivial Bogomolov multiplier such that the Bogomolov multiplier of a central product of these groups is non-trivial. We then prove that finite quasisimple groups and freest special p-groups are Ш-rigid in the sense that all their class-preserving automorphisms are inner. As an application we show the existence of non-nilpotent Ш-rigid groups and Ш-rigid p-groups of odd order having non-trivial Bogomolov multiplier.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
